Question

Find x value %20%3D%200" id="TexFormula1" title=" {x}^{3} + {x}^{2} + 8x + 12 = 0" alt=" {x}^{3} + {x}^{2} + 8x + 12 = 0" align="absmiddle" class="latex-formula">
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Answer 1

step -1

Changes made to your input should not affect the solution:

Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).

x3+x2-8x-12 is not a perfect cube

Factoring: x3+x2-8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)